SSC Sample Paper Mock Test-19 SSC CGL Tear-II Paper-1

Rs. 180 are to be divided among 66 persons (men and women). The ratio of the total amount of money received by men and women is 5 : 4 But the ratio of the money received by each man and woman is 3 : 2. The number of men is

A) 20

B) 24

C) 30

D) 36

Correct Answer: C

Solution :

Suppose amount received by men \[=5x\]

and amount received by women \[=4x\]

According to the question,

\[5x+4x=180\]\[\Rightarrow \]\[9x=180\]\[\Rightarrow \]\[x=20\]

\[\therefore \] Amount received by men = Rs. 100

Amount received by women = Rs. 80

Suppose the number of men be y and that of women be \[(66-y).\]

According to the question, \[\frac{\frac{100}{y}}{\frac{80}{66-y}}=\frac{3}{2}\]

\[\Rightarrow \] \[\frac{100}{y}\times \frac{66-y}{80}=\frac{3}{2}\]

\[\Rightarrow \] \[\frac{5\,\,(66-y)}{4y}=\frac{3}{2}\]

\[\Rightarrow \] \[660-10y=12y\]

\[\Rightarrow \] \[22y=660\]

\[\therefore \] \[y=30\]